In the quantum field theory there are two widely known models used as a
playground for new techniques of multi-loop calculations, these are models with
quadratic interaction (\(\lambda \varphi ^4\) ) and cubic interaction
(\(\lambda \varphi ^3\) ). While these models are most simple among the non-trivial
theories, they admit a number of generalizations which are interesting from the
physical point of view. Most famous generalization is \(O(n)\) -symmetric models:
\(O(n)\) -symmetric \(\lambda \varphi ^4\)  theory describes critical behavior of
different systems (among them are liquid-vapor transitions, superfluid
transition of helium, uniaxial magnets, isotropic ferromagnets etc.)
[1]}, [2]}, [3]}, while \(O(n)\)  \(\varphi ^3\) 
theory generalisation is widely known from [4]}, [5]} as
candidate for model dual to the Vasiliev higher-spin theory in
AdS\(_6\)  [6]}, [7]}. Also many other generalizations
are available for these theories, among them we can mention
cubic [8]} and chiral [9]} \(\varphi ^4\) 
models which represent physicaly interesting universality classes laying outside
of \(O(n)\)  model. For \(\varphi ^3\)  theory most famous generalization is the
\(q\) -state Potts model [10]} and its special case (\(q=1\) )
percolation
theory [11]}, [12]}, [13]}.
Recently significant progress was made in \(\lambda \varphi ^4\)  model:
six- [14]}, [15]}, [3]} and even
seven-loop [17]} anomalous dimensions and critical exponents
were calculated. For the second model and its generalizations only four-loop
results are available [13]} in analytical form and just recently
five-loop calculations were presented [19]}. In this paper we present a
simple method to calculate renormalization group functions and critical
exponents in any generalization of the \(\lambda \varphi ^3\)  theory in \(d=6-2\varepsilon \) 
dimensions up to five loops.
